An individual based model of rippling movement in a myxobacteria population
Authored by ARA Anderson, BN Vasiev
Date Published: 2005
DOI: 10.1016/j.jtbi.2004.11.028
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Abstract
Migrating cells of Myxococeus xanthus (MX) in the early stages of
starvation-induced development exhibit elaborate patterns of propagating
waves. These so-called rippling patterns are formed by two sets of waves
travelling in opposite directions. It has been experimentally shown that
formation of these waves is mediated by cell-cell contact signalling
(C-signalling). Here, we develop an individual-based model to study the
formation of rippling patterns in MX populations. Following the work of
Igoshin et al. (Proc. Nail. Acad. Sci. 98 (2001) 14913) we consider each
moving cell to have an internal clock which controls its turning
behaviour and sensitivity to C-signal. Specifically, we examine the
effects of changing: C-signal strength, sensitivity/refractoriness, cell
density, and noise upon the formation and structure of the rippling
patterns. We also consider three modified models that have no explicit
refractory period and examine their ability to produce rippling
patterns. (c) 2005 Elsevier Ltd. All rights reserved.
Tags
Pattern-formation
Traveling waves
Myxococcus